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Finding the Third Proportional to 13,938.75 and 17,722.13

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Solution

The third proportional to 13,938.75 and 17,722.13 is: 22,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.75 : 17,722.13 = 17,722.13 : x
  2. Step 2: Convert to fraction form
    13,938.75/17,722.13 = 17,722.13/x
  3. Step 3: Cross multiply
    13,938.75x = 17,722.13 × 17,722.13
  4. Step 4: Simplify right side
    13,938.75x = 314,073,714.52
  5. Step 5: Solve for x
    x = 314,073,714.52/13,938.75
  6. Step 6: Final answer
    x = 22,532.42

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.